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Finding the Fourth Proportional to 7,706.22, 11,559.33 and 5,519.22

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Solution

The fourth proportional to 7,706.22, 11,559.33 and 5,519.22 is: 8,278.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.22 : 11,559.33 = 5,519.22 : x
  2. Step 2: Convert to fraction form
    7,706.22/11,559.33 = 5,519.22/x
  3. Step 3: Cross multiply
    7,706.22x = 11,559.33 × 5,519.22
  4. Step 4: Simplify right side
    7,706.22x = 63,798,485.32
  5. Step 5: Solve for x
    x = 63,798,485.32/7,706.22
  6. Step 6: Final answer
    x = 8,278.83

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.